Question

Find x and y , if

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Solution

The given matrix equation is, 2[ 1 3 0 x ]+[ y 0 1 2 ]=[ 5 6 1 8 ] Simplify the given equation. 2[ 1 3 0 x ]+[ y 0 1 2 ]=[ 5 6 1 8 ] [ 2 6 0 2x ]+[ y 0 1 2 ]=[ 5 6 1 8 ] [ 2+y 6 1 2x+2 ]=[ 5 6 1 8 ] Now, compare both sides of the above equation. 2+y=5 y=3 And 2x+2=8 2x=6 x=3 Thus, the value of x is 3 and the value of yis 3.

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